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Posted by on Thursday, July 10, 2014 at 3:06am.

Indicate the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5).

  • math - , Thursday, July 10, 2014 at 4:32am

    m = (-5 - 1)/(2-4) = 3

    m' = -1/m = -1/3

    y = -x/3 + b

    find point on original line halfway between

    x = (4 +2 )/2 = 3
    y = (1 - 5)/2 = -2

    so
    -2 = -3/3 + b
    b = -1
    so
    y = -x/3 - 1

    3 y = -x - 3

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